CONFORMALLY FLAT HYPERSURFACES WITH CYCLIC GUICHARD NET

DOI10.1142/S0129167X07004138zbMath1126.53036OpenAlexW2003517457MaRDI QIDQ3442773

Udo Hertrich-Jeromin, Yoshihiko Suyama

Publication date: 23 May 2007

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x07004138

zbMATH Keywords

cyclic systemconformally flat hypersurfacecurved flatGuichard nettriply orthogonal systemlinear Weingarten surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (10)

Generic conformally flat hypersurfaces and surfaces in 3-sphere ⋮ Conformally flat Lorentzian hypersurfaces in \(\mathbb{R}_1^4\) with a pair of complex conjugate principal curvatures ⋮ A Möbius scalar curvature rigidity on compact conformally flat hypersurfaces in \(\mathbb{S}^{n + 1}\) ⋮ Conformally flat Lorentzian hypersurfaces in \(\mathbb R_1^4\) with three distinct principal curvatures ⋮ Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics ⋮ The complete classification of a class of conformally flat Lorentzian hypersurfaces in ℝ14 ⋮ Conformally flat hypersurfaces with Bianchi-type Guichard net ⋮ A duality for Guichard nets ⋮ The Ribaucour transformation for hypersurfaces of two space forms and conformally flat hypersurfaces ⋮ A duality for conformally flat hypersurfaces

Cites Work

• A CLASSIFICATION AND A NON-EXISTENCE THEOREM FOR CONFORMALLY FLAT HYPERSURFACES IN EUCLIDEAN 4-SPACE

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